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Finding the Fourth Proportional to 9,253.85, 13,880.97 and 3,709.80

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Solution

The fourth proportional to 9,253.85, 13,880.97 and 3,709.80 is: 5,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.85 : 13,880.97 = 3,709.80 : x
  2. Step 2: Convert to fraction form
    9,253.85/13,880.97 = 3,709.80/x
  3. Step 3: Cross multiply
    9,253.85x = 13,880.97 × 3,709.80
  4. Step 4: Simplify right side
    9,253.85x = 51,495,622.51
  5. Step 5: Solve for x
    x = 51,495,622.51/9,253.85
  6. Step 6: Final answer
    x = 5,564.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.